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DynamicModule[{x, y, ...}, expr]
represents an object which maintains the same local instance of the symbols x, y, ... in the course of all evaluations of Dynamic objects in expr. Symbols specified in a DynamicModule will by default have their values maintained even across Mathematica sessions.
DynamicModule[{x=x0, y=y0, ...}, expr]
specifies initial values for x, y, ....
  • DynamicModule first gives unique names to local variables in expr, just like Module, then evaluates the resulting expression, and then returns a version of this wrapped in DynamicModule.
  • In a notebook, this returned version will often be displayed in an output cell. An example is the output from Manipulate.
  • If interactive changing or editing of Dynamic objects within the displayed form of a DynamicModule results in changes in any values for local variables, then the DynamicModule object is modified to reflect these.
  • Values of local variables in a DynamicModule are by default automatically saved when a notebook containing the DynamicModule is saved, so that these values in effect persist across sessions of Mathematica.
  • If you make a copy of a piece of a notebook that contains a DynamicModule object, the local variables in the copy will be independent of the local variables in the original, though they will start with the same values.
  • The following options can be given:
DeinitializationNonean expression to evaluate when the DynamicModule can no longer be displayed
DynamicModuleValuesAutomaticdynamically updated data on variable values
InitializationNonean expression to evaluate when the DynamicModule is first displayed
  • When DynamicModule is first evaluated, initial assignments for local variables are made first, and then any setting for the Initialization option is evaluated.
  • When a DynamicModule object is displayed for the first time in a particular notebook, saved values for local variables are restored, and then any setting for the Initialization option is evaluated.
  • All values of local variables are saved. Ordinary values of symbols are saved in the first argument of the DynamicModule; other values are saved in the setting for the DynamicModuleValues option.
  • DynamicModule constructs can be nested in any way, with inner variables being renamed if necessary.
  • DynamicModule is a scoping construct that implements lexical scoping.
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